Q1:(a) let (S, d)be a metric subspace of a metric space (M, d) and let AS S. Then A isopen in S if and only if A = Sn B for some set B which is open in M. Then give anexample to show that (An B) # An B.(b) let (M, d)be a metric space and let AC M. Then A = AUA.

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Answered: Q1:(a) let (S, d)be a metric subspace…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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Q1:(a) let (S, d)be a metric subspace of a metric space (M, d) and let AS S. Then A is open in S if and only if A = Sn B for some set B which is open in M. Then give an example to show that (An B) # An B. (b) let (M, d)be a metric space and let AC M. Then A = ÀU A.